An explicit algebraic solution for the global phase trajectories of the N=3 identical all-to-all Kuramoto model is constructed via Koopman eigenfunctions that reduce the dynamics to solvable time-dependent quartic equations.
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Every graph class of bounded cliquewidth and unbounded linear cliquewidth contains arbitrarily large tree-like induced subgraphs that MSO-transduce all trees and FO-transduce subdivisions of all binary trees.
The authors establish a criterion for strong entropy chaos on path space in the infinite-particle limit for conservative diffusions, given relative entropy bounds, weak convergence of drifts and fixed-time marginals, and regularity of the limit drift.
AutoFlows++ improves accuracy of extracting message flows from interleaved SoC communication traces via a design-guided two-stage local-then-global mining process.
SDP techniques bound fractional cut-cover and MAX 2-SAT on association scheme graphs and distance-regular graphs, extending Goemans-Williamson equality cases and computing gauge duals.
A Zeno-blockade photonic optimizer is proposed to find weighted maximum independent sets using sum-frequency generation or two-photon absorption, either as real-time entropy computing or Zeno-constrained quantum annealing.
Proposes and benchmarks a new aggregation technique for LoRA adapters in federated fine-tuning against existing methods on GLUE tasks.
MAD-BA performs simultaneous optimization of LiDAR poses and surfel-based 3D maps with a generalized uncertainty model, claiming improved performance over most state-of-the-art methods on public datasets with open-source release.
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A criterion for proving entropy chaos on path space
The authors establish a criterion for strong entropy chaos on path space in the infinite-particle limit for conservative diffusions, given relative entropy bounds, weak convergence of drifts and fixed-time marginals, and regularity of the limit drift.